Finding the Fourth Proportional to 20,120,431,054.79, 27,765,543,591.77 and 11,548,268,682.09
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Solution
The fourth proportional to 20,120,431,054.79, 27,765,543,591.77 and 11,548,268,682.09 is: 15,936,236,983.64
Step by Step Solution
- Step 1: Write the proportion equation
20,120,431,054.79 : 27,765,543,591.77 = 11,548,268,682.09 : x - Step 2: Convert to fraction form
20,120,431,054.79/27,765,543,591.77 = 11,548,268,682.09/x - Step 3: Cross multiply
20,120,431,054.79x = 27,765,543,591.77 × 11,548,268,682.09 - Step 4: Simplify right side
20,120,431,054.79x = 320,643,957,501,984,440,320 - Step 5: Solve for x
x = 320,643,957,501,984,440,320/20,120,431,054.79 - Step 6: Final answer
x = 15,936,236,983.64
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.